Question

The rates of diffusion of two gases X and Y are in the ratio 1 : 5 and that of Y and Z in the ratio 1 : 6 . The ratio of rates of diffusion of Z and X is ?

• A. 5 : 6
• B. 1 : 30
• C. 6 : 5
• D. 30 : 1

Answer 1

The correct option is D 30 : 1

Given,

$\frac{r_x}{r_y}=\frac{1}{5}$.......(1)

$\frac{r_y}{r_z}=\frac{1}{6}$.......(2)

$\frac{r_z}{r_x}=?$

$\left(1\right)\times \left(2\right)\Rightarrow \frac{r_x}{r_y}\times \frac{r_y}{r_z}$

$\Rightarrow \frac{r_x}{r_z}=\frac{1}{5}\times \frac{1}{6}$

$\Rightarrow \frac{r_x}{r_z}=1:30$

$\frac{r_z}{r_x}=30:1$

Thus, Option-D is correct.